The value of x is 23.78 cm and this can be determined by using the cosine function which is an important trigonometric function.
Given :
A right triangle. The hypotenuse is labeled as 25 centimeters. The base is labeled as x.
Using the trigonometric functions the value of x can be determined. The cosine function can be used in order to determine the value of 'x'.
The cosine function is the ratio of the base to the hypotenuse. It is given by:
[tex]\rm cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
Now, put the values of the base, hypotenuse, and the angle [tex]\theta[/tex] in the above equation.
[tex]\rm cos 18^\circ = \dfrac{x}{25}[/tex]
[tex]\rm x = cos18^\circ \times 25[/tex]
x = 23.78 cm
So, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/10283811
